Sophie Marques

collaborators

3 papers

math.RA2025

Why is the category of near-vector spaces abelian?

Zurab Janelidze, Sophie Marques, Daniella Moore

In this paper we present a unified proof of the fact that the category of modules over a ring and the category of near-vector spaces in the sense of J. André, over an appropriate s…

math.CO2025

A study of a recursive sequence of polynomials revealing weighted Catalan Numbers

Sophie Marques, Elizabeth Mrema

This paper examines the recursive sequence of polynomials $p_{n} (x)$ , defined by $p_{0} (x) = x^{2} - 2$ and $p_{n} (x) = p_{n - 1} (x)^{2} - 2$ for $n \geq 1$ . It describes the field-theoretic m…

math.CT2024

A Categorical Perspective on Gluing

Sophie Marques, Damas Mgani

This paper introduces the concept of gluing in a general category, enabling us to define categories that admit glued-up objects. To achieve this, we introduce the notion of a gluin…